卡方临界值
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22
33.92444
50.72508
76.15389
111.4954
157.4192
231.5952
334.3542
23
35.17246
53.20335
79.84334
115.1166
162.1661
237.6344
341.5345
24
36.41503
54.43729
81.06877
117.5242
139.4908
209.71
307.8901
17
27.58711
43.19451
67.45935
100.554
144.2928
215.8132
315.1299
18
28.8693
44.46079
68.70951
101.7759
145.4908
217.0315
317.5393
19
30.14353
46.97924
32.85233
53.48577
83.25255
123.7613
190.0401
284.8425
12
21.02607
35.47888
57.34207
88.23638
129.8348
197.4427
293.3562
13
22.36203
36.78071
58.61921
89.47687
131.0458
199.903
161.3187
249.254
6
12.59159
23.33666
41.6384
68.05273
105.3302
167.614
256.6628
7
14.06714
26.11源自文库95
45.64168
73.16606
111.5126
175.1286
266.5025
8
15.50731
27.48839
46.96294
361.8002
30
43.77297
62.99036
90.80153
128.2989
177.5078
255.6598
362.9888
31
44.98534
64.20146
93.21686
131.8706
181.0311
260.4447
368.9266
32
46.19426
66.61653
95.62572
164.5347
240.0457
345.1191
25
37.65248
55.66797
82.29212
118.7261
165.7178
241.2503
346.3131
26
38.88514
56.89552
83.51343
119.9268
166.9002
242.4544
347.5068
27
40.11327
3
7.814728
16.01276
31.99993
55.0027
89.03458
147.3501
231.8618
4
9.487729
19.02277
36.19087
61.58118
96.59926
156.2589
243.06
5
11.0705
21.92005
38.93217
64.18141
100.3527
134.2465
184.5484
264.0278
373.6704
33
47.39988
67.82065
96.82782
135.433
185.7195
265.221
374.8555
34
48.60237
69.02259
99.22752
138.9868
189.2292
269.9891
379.5923
35
49.80185
71.2014
105.432
150.2732
223.1121
324.7565
20
31.41043
48.23189
73.68264
107.8617
152.6587
225.5393
327.1586
21
32.67057
49.48044
74.91947
109.0744
155.0407
229.1749
331.9574
295.7838
14
23.68479
38.07563
61.16209
93.18614
135.8782
204.8132
301.8434
15
24.99579
39.36408
62.42812
94.41865
137.0835
207.2632
305.473
16
26.29623
41.92317
64.95007
96.87811
202.0521
285.4307
398.4863
可以在excel表格中输入卡方公式“=CHIINV(α,df)”计算自己想要的临界值
390.2304
38
53.38354
75.00186
106.3929
147.247
199.7258
281.8743
393.7705
39
54.57223
76.19205
107.5825
148.4236
200.8892
283.0603
396.129
40
55.75848
77.38047
108.7709
149.5994
74.43654
112.7441
176.377
267.7295
9
16.91898
28.84535
48.27824
76.96877
115.2026
180.1158
272.6311
10
18.30704
31.52638
52.19139
82.00083
122.5428
188.803
282.405
11
19.67514
59.34171
87.16571
124.7177
172.8005
249.6661
355.8513
28
41.33714
60.56057
88.37942
125.9125
173.9784
250.8659
357.0418
29
42.55697
61.77676
89.59134
127.1063
176.3321
254.4622
70.22241
100.4252
140.1695
191.5659
272.37
383.1413
36
50.99846
71.4202
101.6214
141.3513
192.7333
273.5598
384.3236
37
52.19232
73.80986
104.0098
144.8913
196.2321
278.3138
df/α
0.05
0.025
0.01
0.005
0.0025
0.0001
0.00001
1
3.841459
9.348404
21.66599
41.40106
71.0112
124.0667
202.919
2
5.991465
12.8325
26.21697
48.28988
80.09668
135.7825
216.8239
33.92444
50.72508
76.15389
111.4954
157.4192
231.5952
334.3542
23
35.17246
53.20335
79.84334
115.1166
162.1661
237.6344
341.5345
24
36.41503
54.43729
81.06877
117.5242
139.4908
209.71
307.8901
17
27.58711
43.19451
67.45935
100.554
144.2928
215.8132
315.1299
18
28.8693
44.46079
68.70951
101.7759
145.4908
217.0315
317.5393
19
30.14353
46.97924
32.85233
53.48577
83.25255
123.7613
190.0401
284.8425
12
21.02607
35.47888
57.34207
88.23638
129.8348
197.4427
293.3562
13
22.36203
36.78071
58.61921
89.47687
131.0458
199.903
161.3187
249.254
6
12.59159
23.33666
41.6384
68.05273
105.3302
167.614
256.6628
7
14.06714
26.11源自文库95
45.64168
73.16606
111.5126
175.1286
266.5025
8
15.50731
27.48839
46.96294
361.8002
30
43.77297
62.99036
90.80153
128.2989
177.5078
255.6598
362.9888
31
44.98534
64.20146
93.21686
131.8706
181.0311
260.4447
368.9266
32
46.19426
66.61653
95.62572
164.5347
240.0457
345.1191
25
37.65248
55.66797
82.29212
118.7261
165.7178
241.2503
346.3131
26
38.88514
56.89552
83.51343
119.9268
166.9002
242.4544
347.5068
27
40.11327
3
7.814728
16.01276
31.99993
55.0027
89.03458
147.3501
231.8618
4
9.487729
19.02277
36.19087
61.58118
96.59926
156.2589
243.06
5
11.0705
21.92005
38.93217
64.18141
100.3527
134.2465
184.5484
264.0278
373.6704
33
47.39988
67.82065
96.82782
135.433
185.7195
265.221
374.8555
34
48.60237
69.02259
99.22752
138.9868
189.2292
269.9891
379.5923
35
49.80185
71.2014
105.432
150.2732
223.1121
324.7565
20
31.41043
48.23189
73.68264
107.8617
152.6587
225.5393
327.1586
21
32.67057
49.48044
74.91947
109.0744
155.0407
229.1749
331.9574
295.7838
14
23.68479
38.07563
61.16209
93.18614
135.8782
204.8132
301.8434
15
24.99579
39.36408
62.42812
94.41865
137.0835
207.2632
305.473
16
26.29623
41.92317
64.95007
96.87811
202.0521
285.4307
398.4863
可以在excel表格中输入卡方公式“=CHIINV(α,df)”计算自己想要的临界值
390.2304
38
53.38354
75.00186
106.3929
147.247
199.7258
281.8743
393.7705
39
54.57223
76.19205
107.5825
148.4236
200.8892
283.0603
396.129
40
55.75848
77.38047
108.7709
149.5994
74.43654
112.7441
176.377
267.7295
9
16.91898
28.84535
48.27824
76.96877
115.2026
180.1158
272.6311
10
18.30704
31.52638
52.19139
82.00083
122.5428
188.803
282.405
11
19.67514
59.34171
87.16571
124.7177
172.8005
249.6661
355.8513
28
41.33714
60.56057
88.37942
125.9125
173.9784
250.8659
357.0418
29
42.55697
61.77676
89.59134
127.1063
176.3321
254.4622
70.22241
100.4252
140.1695
191.5659
272.37
383.1413
36
50.99846
71.4202
101.6214
141.3513
192.7333
273.5598
384.3236
37
52.19232
73.80986
104.0098
144.8913
196.2321
278.3138
df/α
0.05
0.025
0.01
0.005
0.0025
0.0001
0.00001
1
3.841459
9.348404
21.66599
41.40106
71.0112
124.0667
202.919
2
5.991465
12.8325
26.21697
48.28988
80.09668
135.7825
216.8239